0.001/0.001	YES
0.001/0.001	
0.001/0.001	Problem 1:
0.001/0.001	
0.001/0.001	
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	Confluence Problem:
0.001/0.001	(VAR vNonEmpty:S x:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(a 1)
0.001/0.001	(c)
0.001/0.001	(p 1)
0.001/0.001	(0)
0.001/0.001	(b)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(q 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	a(x:S) -> b | p(x:S) ->* 0
0.001/0.001	c -> c
0.001/0.001	p(q(x:S)) -> 0
0.001/0.001	)
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	
0.001/0.001	
0.001/0.001	Problem 1:
0.001/0.001	
0.001/0.001	Inlining of Conditions Processor [STERN17]:
0.001/0.001	
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	Confluence Problem:
0.001/0.001	(VAR vNonEmpty:S x:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(a 1)
0.001/0.001	(c)
0.001/0.001	(p 1)
0.001/0.001	(0)
0.001/0.001	(b)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(q 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	a(x:S) -> b | p(x:S) ->* 0
0.001/0.001	c -> c
0.001/0.001	p(q(x:S)) -> 0
0.001/0.001	)
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	
0.001/0.001	
0.001/0.001	Problem 1:
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	Confluence Problem:
0.001/0.001	(VAR vNonEmpty:S x:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(a 1)
0.001/0.001	(c)
0.001/0.001	(p 1)
0.001/0.001	(0)
0.001/0.001	(b)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(q 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	a(x:S) -> b | p(x:S) ->* 0
0.001/0.001	c -> c
0.001/0.001	p(q(x:S)) -> 0
0.001/0.001	)
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	
0.001/0.001	Critical Pairs Processor:
0.001/0.001	-> Rules:
0.001/0.001	a(x:S) -> b | p(x:S) ->* 0
0.001/0.001	c -> c
0.001/0.001	p(q(x:S)) -> 0
0.001/0.001	-> Vars:
0.001/0.001	"x", "x"
0.001/0.001	-> FVars:
0.001/0.001	"x2", "x3"
0.001/0.001	-> PVars:
0.001/0.001	"x": ["x2", "x3"]
0.001/0.001	
0.001/0.001	-> Rlps:
0.001/0.001	crule: a(x2:S) -> b | p(x2:S) ->* 0, id: 1, possubterms: a(x2:S)-> []
0.001/0.001	crule: c -> c, id: 2, possubterms: c-> []
0.001/0.001	crule: p(q(x3:S)) -> 0, id: 3, possubterms: p(q(x3:S))-> [], q(x3:S)-> [1]
0.001/0.001	
0.001/0.001	-> Unifications:
0.001/0.001	
0.001/0.001	
0.001/0.001	-> Critical pairs info:
0.001/0.001	
0.001/0.001	
0.001/0.001	-> Problem conclusions:
0.001/0.001	 Left linear, Right linear, Linear
0.001/0.001	 Weakly orthogonal, Almost orthogonal, Orthogonal
0.001/0.001	 CTRS Type: 1
0.001/0.001	 Deterministic, Strongly deterministic
0.001/0.001	 Oriented CTRS, Properly oriented CTRS, Not join CTRS
0.001/0.001	 Maybe right-stable CTRS, Overlay CTRS
0.001/0.001	 Maybe normal CTRS, Maybe almost normal CTRS
0.001/0.001	 Maybe terminating CTRS, Joinable CCPs
0.001/0.001	 Maybe level confluent
0.001/0.001	 Maybe confluent
0.001/0.001	
0.001/0.001	Problem 1:
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	Confluence Problem:
0.001/0.001	(VAR vNonEmpty:S x:S)
0.001/0.001	(STRATEGY CONTEXTSENSITIVE
0.001/0.001	(a 1)
0.001/0.001	(c)
0.001/0.001	(p 1)
0.001/0.001	(0)
0.001/0.001	(b)
0.001/0.001	(fSNonEmpty)
0.001/0.001	(q 1)
0.001/0.001	)
0.001/0.001	(RULES
0.001/0.001	a(x:S) -> b | p(x:S) ->* 0
0.001/0.001	c -> c
0.001/0.001	p(q(x:S)) -> 0
0.001/0.001	)
0.001/0.001	Critical Pairs:
0.001/0.001	
0.001/0.001	:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0.001/0.001	
0.001/0.001	Right Stable Processor:
0.001/0.001	Right-stable CTRS
0.001/0.001	Justification:
0.001/0.001	
0.001/0.001	-> Term right-stability conditions:
0.001/0.001	 Term: 0
0.001/0.001	 Right-stable term
0.001/0.001	 Linear constructor form
0.001/0.001	 Don't know if term is a ground normal form (not needed)
0.001/0.001	 Right-stability condition achieved
0.001/0.001	 A call to InfChecker wasn't needed
0.001/0.001	
0.001/0.001	-> Problem conclusions:
0.001/0.001	 Left linear, Right linear, Linear
0.001/0.001	 Weakly orthogonal, Almost orthogonal, Orthogonal
0.001/0.001	 CTRS Type: 1
0.001/0.001	 Deterministic, Strongly deterministic
0.001/0.001	 Oriented CTRS, Properly oriented CTRS, Not join CTRS
0.001/0.001	 Right-stable CTRS, Overlay CTRS
0.001/0.001	 Maybe normal CTRS, Almost normal CTRS
0.001/0.001	 Maybe terminating CTRS, Joinable CCPs
0.001/0.001	 Level confluent
0.001/0.001	 Confluent
0.001/0.001	
0.001/0.001	The problem is joinable.
0.001/0.001	0.00user 0.00system 0:00.01elapsed 46%CPU (0avgtext+0avgdata 8140maxresident)k
0.001/0.001	8inputs+0outputs (0major+655minor)pagefaults 0swaps